Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics.

It is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin j in the context of the Loop Quantum Gravity theory which is j m i n = 1. Consequently, the value of Immirzi parameter is given by γ = ln ⁡ 3 / (2 π 2). In this paper, we have shown that if we use Tsallis microcanonical entropy rather than Boltzmann-Gibbs framework then the minimum value of the label j depends on the nonextensive q -parameter and may have values other than j m i n = 1. [ABSTRACT FROM AUTHOR]